Search a number
-
+
13323031003229 is a prime number
BaseRepresentation
bin1100000111100000001010…
…0001111100000001011101
31202011200001221022202001012
43001320002201330001131
53221241031414100404
644200303240025005
72543362062001043
oct301700241740135
952150057282035
1013323031003229
1142772a1741662
1215b2114162165
1375848310c98c
14340ba3c06393
15181868c2ba6e
hexc1e0287c05d

13323031003229 has 2 divisors, whose sum is σ = 13323031003230. Its totient is φ = 13323031003228.

The previous prime is 13323031003129. The next prime is 13323031003231. The reversal of 13323031003229 is 92230013032331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11724255364900 + 1598775638329 = 3424070^2 + 1264427^2 .

It is a cyclic number.

It is not a de Polignac number, because 13323031003229 - 212 = 13323030999133 is a prime.

It is a super-2 number, since 2×133230310032292 (a number of 27 digits) contains 22 as substring.

Together with 13323031003231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13323031003195 and 13323031003204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13323031003129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6661515501614 + 6661515501615.

It is an arithmetic number, because the mean of its divisors is an integer number (6661515501615).

Almost surely, 213323031003229 is an apocalyptic number.

It is an amenable number.

13323031003229 is a deficient number, since it is larger than the sum of its proper divisors (1).

13323031003229 is an equidigital number, since it uses as much as digits as its factorization.

13323031003229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 32.

The spelling of 13323031003229 in words is "thirteen trillion, three hundred twenty-three billion, thirty-one million, three thousand, two hundred twenty-nine".